江汉大学学报（自然科学版）2015，Vol.43Issue(6)：571-576,6.DOI:10.16389/j.cnki.cn42-1737/n.2015.06.016
三种非线性弹性地基梁的变形和内力研究
Deformation and Internal Force Analysis of Three Kinds of Beams on Non-Linear Elastic Foundation
摘要
Abstract
To study the influence of non-linear relationship of foundation reaction force and beam deflection on deformation and internal force of long ,medium and short these three kinds of foundation beam. Based on experimental data ,the reaction force of foundation and the beam deflection were fitted as linear relationship and cubic polynomial ,and then did program with finite difference method and Newton iteration method ,to solve the curve of beams' length and deflection ,slope ,shearing force ,bending moment of non-linear elastic foundation beams and classical linear elastic foundation beams. The numerical case showed the deformation and internal force of short non-linear and linear elastic Winkler beams are the same;the relative errors could reach 10%-20%for medium and long beams ,so the non-linear relationship of foundation reaction force and settlement should be considered in real engineering;the relative error of the deformation and internal force of medium non-linear and linear elastic beams changed with the length of beams ,but to long beams ,the relative error did not changed with the length.关键词
非线性弹性地基梁/有限差分法/挠度/转角/剪力/弯矩Key words
non-linear elastic foundation beams/finite difference method/deflection/slope/shearing force/bending moment分类
建筑与水利引用本文复制引用
陈小亮,黄开志,王小荣..三种非线性弹性地基梁的变形和内力研究[J].江汉大学学报（自然科学版）,2015,43(6):571-576,6.基金项目
重庆科技学院研究生教育教学改革研究项目(YJG2014Y008) （YJG2014Y008）
